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Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri dr(t) - r2(t)] = r(t) r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = r1(t) × dt x r2(t). dt dt ri(t) = cos(t)i+ sin(t)j+ 3tk, r2(t) = 2i + tk d ri(t) · r2(t)] : d [r1(t) x r2(t)] dt.

Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri dr(t) - r2(t)] = r(t) r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = r1(t) × dt x r2(t). dt dt ri(t) = cos(t)i+ sin(t)j+ 3tk, r2(t) = 2i + tk d ri(t) · r2(t)] : d [r1(t) x r2(t)] dt.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri ar(t) - r2(t)] = r1(t)- r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = r1(t) × dt x r2(t). dt dt ri(t) = cos(t)i+ sin(t)j+ 3tk, r2(t) = 2i + tk d r:(t) - r2(t)] = d [r1(t) x r2(t)] dt.
Transcribed Image Text:Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri ar(t) - r2(t)] = r1(t)- r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = r1(t) × dt x r2(t). dt dt ri(t) = cos(t)i+ sin(t)j+ 3tk, r2(t) = 2i + tk d r:(t) - r2(t)] = d [r1(t) x r2(t)] dt.
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